What is the Least Common Multiple of 8140 and 8150?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 8140 and 8150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8140 and 8150, than apply into the LCM equation.

GCF(8140,8150) = 10
LCM(8140,8150) = ( 8140 × 8150) / 10
LCM(8140,8150) = 66341000 / 10
LCM(8140,8150) = 6634100

Least Common Multiple (LCM) of 8140 and 8150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8140 and 8150. First we will calculate the prime factors of 8140 and 8150.

Prime Factorization of 8140

Prime Factorization of 8150

Now multiplying the highest exponent prime factors to calculate the LCM of 8140 and 8150.

LCM(8140,8150) = 2² × 5² × 11¹ × 37¹ × 163¹
LCM(8140,8150) = 6634100